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A modular analogue of a problem of Vinogradov (Q6078994)

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scientific article; zbMATH DE number 7743406

Language	Label	Description	Also known as
English	A modular analogue of a problem of Vinogradov	scientific article; zbMATH DE number 7743406

Statements

scholarly article

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A modular analogue of a problem of Vinogradov (English)

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10.1007/s11139-022-00688-9

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Ratnadeep Acharya

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Satadal Ganguly

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Olivier Ramaré

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The Ramanujan Journal

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publication date

28 September 2023

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full work available at URL

https://arxiv.org/abs/2208.14786

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

Vinogradov's conjecture

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modular forms

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Moebius function

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Sato-Tate law

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MaRDI profile type

MaRDI publication profile

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The least quadratic non residue

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The distribution of quadratic residues and non‐residues

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Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.

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Level raising and symmetric power functoriality. II

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Level-raising and symmetric power functoriality. III.

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La conjecture de Weil. I

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A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$

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Zeta functions of simple algebras

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A family of Calabi-Yau varieties and potential automorphy

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Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman

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THE FIRST NEGATIVE HECKE EIGENVALUE

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Uniform bound for Hecke \(L\)-functions

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Cuspidality of symmetric powers with applications.

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Functorial products for \(\text{GL}_2\times \text{GL}_3\) and the symmetric cube for \(\text{GL}_2\).

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Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂

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On modular signs

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Problems in the theory of automorphic forms to Salomon Bochner in gratitude

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The first negative coefficients of symmetric square \(L\)-functions

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Effective Log-Free Zero Density Estimates for Automorphic L-Functions and the Sato–Tate Conjecture

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A density theorem on automorphic $L$-functions and some applications

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Extreme values of symmetric power L-functions at 1

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On signs of Fourier coefficients of cusp forms

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THE SUBCONVEXITY PROBLEM FOR <i>L</i>-FUNCTIONS

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Symmetric power functoriality for holomorphic modular forms

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Arithmetical Aspects of the Large Sieve Inequality

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Comparing \(L(s,\chi)\) with its truncated Euler product and generalization

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Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. II

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Das asymptotische Verhalten von Summen über multiplikative Funktionen

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Sitelinks

Mathematics(1 entry)

mardi Publication:6078994

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